Rotate a three-sphere so every point moves in R^4?

samedi 4 avril 2015

If we rotate a two-sphere in R^3 so it stays centered about the origin then two points don't move.



If we rotate a three-sphere in R^4 while it stays centered about the origin can it be done so that all points move?



Does this have anything to do with the fact the S^3 is parallelizable while S^2...



Rotate a three-sphere so every point moves in R^4?





Rotate a three-sphere so every point moves in R^4?

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